Illustration for the question “Towards what constant does the ratio of two consecutive terms of the Fibonacci sequence tend?”

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Towards what constant does the ratio of two consecutive terms of the Fibonacci sequence tend?

Correct answer Leonardo de Pise

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The Fibonacci sequence is defined by adding the two previous terms: 0, 1, 1, 2, 3, 5, 8, then so on. When its terms become large, the ratio of one term to the previous one approaches the golden ratio, approximately 1.618. This convergence does not mean that a “unique ratio” is contained in each number in the sequence. Leonardo of Pisa, known as Fibonacci, presented the sequence in Europe in the “Liber Abaci” of 1202, based on a problem of rabbit reproduction. The golden ratio and related ideas, however, had been studied since ancient times; Fibonacci did not discover them.

Content last updated · August 14, 2026

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